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单词 principal value
释义

principal value

A unique member of a set of values a variable can take, especially when seeking to define the inverse of trigonometric functions or square roots. Both 3 and –3 are square roots of 9, but inline is chosen to be 3, the principal value.

Similarly sin30°=sin150°=sin(−210°) = 0.5, but sin−1 0.5 = 30°. Sine is not an invertible function, but by choosing principal values a function sin–1: [–1,1]→[–90°,90°] can be defined such that sin(sin–1x) = x for –1 ≤ x ≤ 1.

See also argument, multifunction.

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更新时间:2025/4/29 23:16:31